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Finding the Fourth Proportional to 8,992.54, 12,409.68 and 5,013.42

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Solution

The fourth proportional to 8,992.54, 12,409.68 and 5,013.42 is: 6,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.54 : 12,409.68 = 5,013.42 : x
  2. Step 2: Convert to fraction form
    8,992.54/12,409.68 = 5,013.42/x
  3. Step 3: Cross multiply
    8,992.54x = 12,409.68 × 5,013.42
  4. Step 4: Simplify right side
    8,992.54x = 62,214,937.91
  5. Step 5: Solve for x
    x = 62,214,937.91/8,992.54
  6. Step 6: Final answer
    x = 6,918.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.